1956249338160 has 320 divisors, whose sum is σ = 7138103132160. Its totient is φ = 438592389120.

The previous prime is 1956249338159. The next prime is 1956249338231. The reversal of 1956249338160 is 618339426591.

It is a super-2 number, since 2×1956249338160² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1956249338160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1049361 + ... + 2239119.

It is an arithmetic number, because the mean of its divisors is an integer number (22306572288).

Almost surely, 2^{1956249338160} is an apocalyptic number.

1956249338160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1956249338160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3569051566080).

1956249338160 is an abundant number, since it is smaller than the sum of its proper divisors (5181853794000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1956249338160 is a wasteful number, since it uses less digits than its factorization.

1956249338160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189836 (or 1189830 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 57.

The spelling of 1956249338160 in words is "one trillion, nine hundred fifty-six billion, two hundred forty-nine million, three hundred thirty-eight thousand, one hundred sixty".